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Simplifying 1.75(x + 5) = -1x + 2(0.4 + x) Reorder the terms: 1.75(5 + x) = -1x + 2(0.4 + x) (5 * 1.75 + x * 1.75) = -1x + 2(0.4 + x) (8.75 + 1.75x) = -1x + 2(0.4 + x) 8.75 + 1.75x = -1x + (0.4 * 2 + x * 2) 8.75 + 1.75x = -1x + (0.8 + 2x) Reorder the terms: 8.75 + 1.75x = 0.8 + -1x + 2x Combine like terms: -1x + 2x = 1x 8.75 + 1.75x = 0.8 + 1x Solving 8.75 + 1.75x = 0.8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8.75 + 1.75x + -1x = 0.8 + 1x + -1x Combine like terms: 1.75x + -1x = 0.75x 8.75 + 0.75x = 0.8 + 1x + -1x Combine like terms: 1x + -1x = 0 8.75 + 0.75x = 0.8 + 0 8.75 + 0.75x = 0.8 Add '-8.75' to each side of the equation. 8.75 + -8.75 + 0.75x = 0.8 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + 0.75x = 0.8 + -8.75 0.75x = 0.8 + -8.75 Combine like terms: 0.8 + -8.75 = -7.95 0.75x = -7.95 Divide each side by '0.75'. x = -10.6 Simplifying x = -10.6
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